SOLUTION: Determine the general term for the following sequence: 1, -3, 9, -27. I came up with -3^n-1, which was marked wrong. Any insight would be much appreciated...

Algebra ->  Sequences-and-series -> SOLUTION: Determine the general term for the following sequence: 1, -3, 9, -27. I came up with -3^n-1, which was marked wrong. Any insight would be much appreciated...      Log On


   



Question 1086471: Determine the general term for the following sequence: 1, -3, 9, -27. I came up with -3^n-1, which was marked wrong. Any insight would be much appreciated...
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
With these, make (-1)^(n) the sign changer then 3^n. That way, one can make the index n=0 to whatever value is desired.
-1^0*3^0
-1^1*3^1
-1^2*3^2
-1^3*3^3

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Determine the general term for the following sequence: 1, -3, 9, -27. I came up with -3^n-1, which was marked wrong. Any insight would be much appreciated...
highlight_green%28matrix%281%2C3%2C+a%5Bn%5D%2C+%22=%22%2C+%28-+3%29%5E%28n+-+1%29%29%29